Math Tips

1. Place Value and Decimal Fractions: In this Module, students’ understanding of the pat-
terns in the base ten system are extended from Grade 4’s work with place value of multi
-digit whole numbers and decimals to hundredths to the thousandths place. In Grade 5,
students deepen their knowledge through a more generalized understanding of the rela-
tionships between and among adjacent places on the place value chart, e.g., 1 tenth
times any digit on the place value chart moves it one place value to the right.
Place Value and Decimal Fractions
Words to Know
Fifth Grade: Module 1
August 2015
Fifth Grade,
Module 1
DUVAL Math
Parent Tips
Special points
of interest:
 Words to Know
 Sample Problems
 Standard Form
 Expanded Form
 Place Value Chart
 Help at home
 Standards for
Mathematical
Practice
 Florida Standards
Thousandths – one of 1,000 equal parts; thousandth's place (in
decimal notation) the position of the third digit to the right of the
decimal point
Hundredths – one of 100 equal parts; hundredth’s place (in deci-
mal notation) the position of the second digit to the right of the
decimal point
Tenths – one of 10 equal parts; tenth’s place (in decimal notation)
the position of the first digit to the right of the decimal point
Place Value - the value of the place of a digit (0-9) in a number
Decimal Fraction - a fractional number with a denominator of 10
or a power of 10 (10, 100, 1,000). It can be written with a decimal
point
Exponent - tells the number of times the base is multiplied by
itself Example: 104 – the 4 is the exponent and tells us the 10
(base) is multiplied 4 times (10 x 10 x 10 x 10)
Equation – statement that two mathematical expressions have
the same value
Mrs. Beth Gonzalez
Director, Mathematics K-5
gonzalezb1@duvalschools.org
904-390-2990
Questions?
Area Model– a graphic organizer
that organizes the partial products.
Example:

2. Fifth Grade, Module 1 DUVAL Math Parent Tips
Decompose
Sample Problems
Teacher says:
“Subtract 2 ones 3 thousandths from 7 ones
5 thousandths.”
Students use a place value chart to solve.
Place Value
The goal of DUVAL
Math is to produce
students who are not
merely literate, but
fluent, in mathematics.
Your child has an
exciting year of
discovering the story of
mathematics ahead!

3. Fifth Grade, Module 1
Create number cubes or spinners and have the student identify the place value and value of
different digits in that number. • Roll or pick numbers to create decimals. Add, subtract, multi-
ply, or divide the decimals. • Find the batting averages or other statistics in the sports section
of a newspaper and add or subtract the statistics. • Estimate and find the sums and differ-
ences of items at the store and in restaurants. • Practice basic addition, subtraction, multiplica-
tion and division facts. • Roll or pick numbers to create decimals. Compare and order the num-
bers. • Choose a four-digit number. Multiply and divide by powers of 10 (10, 100, 1,000, etc.)
by moving the decimal point left or right as appropriate.
Page 3
How can you help at home?
Each module’s par-
ent tip sheet will
highlight a new strat-
egy or math model
your student will be
working on.

4. During the first 10 days of schools,
teachers will emphasize the importance
of the 8 Standards for mathematical
practice through 30 minute lessons.
These practices will be embedded in
lessons daily throughout the school
year.
Strength with the mathematical practic-
es make strong mathematicians!
Standards for Mathematical
Practice
Mathematics Florida Standards
Fifth Grade, Module 1 Page 4
5.NBT.1.1 Recognize that in a multi-digit number, a digit in one place represents 10 times
as much as it represents in the place to its right and 1/10 of what it represents in the place
to its left.
5.NBT.1.2 Explain patterns in the number of zeroes of the product when multiplying a
number by powers of 10, and explain patterns in the placement of the decimal point when a
decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote
powers of 10.
5.NBT.1.3 Read, write, and compare decimals to thousandths.
a. Read and write decimals to thousandths using base-ten numerals, number names,
and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2
× (1/1000).
b. Compare two decimals to thousandths based on meanings of the digits in each
place, using >, =, and < symbols to record the results of comparisons.
5.NBT.1.4 Use place value understanding to round decimals to any place.
5.NBT.2.7 Add, subtract, multiply, and divide decimals to hundredths, using concrete
models or drawings and strategies based on place value, properties of operations, and/or
the relationship between addition and subtraction; relate the strategy to a written method
and explain the reasoning used.
5.MD.1.1 Convert among different-sized standard measurement units within a given
measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving
multi-step, real world problems.